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Finding the Fourth Proportional to 17,280.10, 23,849.92 and 11,237.82

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Solution

The fourth proportional to 17,280.10, 23,849.92 and 11,237.82 is: 15,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.10 : 23,849.92 = 11,237.82 : x
  2. Step 2: Convert to fraction form
    17,280.10/23,849.92 = 11,237.82/x
  3. Step 3: Cross multiply
    17,280.10x = 23,849.92 × 11,237.82
  4. Step 4: Simplify right side
    17,280.10x = 268,021,107.97
  5. Step 5: Solve for x
    x = 268,021,107.97/17,280.10
  6. Step 6: Final answer
    x = 15,510.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.